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214124523424 = 2572322962311
BaseRepresentation
bin1100011101101011010…
…0001110111110100000
3202110200201001211002121
43013122310032332200
512002011334222144
6242211211354024
721320130263410
oct3073264167640
9673621054077
10214124523424
118289a790759
12355b9a52914
1317265679b46
14a513d30640
1558834a3384
hex31dad0efa0

214124523424 has 144 divisors (see below), whose sum is σ = 521013064320. Its totient is φ = 84749575680.

The previous prime is 214124523343. The next prime is 214124523461. The reversal of 214124523424 is 424325421412.

It is a self number, because there is not a number n which added to its sum of digits gives 214124523424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3405229 + ... + 3467539.

It is an arithmetic number, because the mean of its divisors is an integer number (3618146280).

Almost surely, 2214124523424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214124523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260506532160).

214124523424 is an abundant number, since it is smaller than the sum of its proper divisors (306888540896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214124523424 is a wasteful number, since it uses less digits than its factorization.

214124523424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62403 (or 62372 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

Adding to 214124523424 its reverse (424325421412), we get a palindrome (638449944836).

The spelling of 214124523424 in words is "two hundred fourteen billion, one hundred twenty-four million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 92 112 116 161 184 203 224 232 322 368 406 464 529 644 667 736 812 928 1058 1288 1334 1624 2116 2576 2668 3248 3703 4232 4669 5152 5336 6496 7406 8464 9338 10672 14812 15341 16928 18676 21344 29624 30682 37352 59248 61364 62311 74704 107387 118496 122728 124622 149408 214774 245456 249244 429548 436177 490912 498488 859096 872354 996976 1433153 1718192 1744708 1807019 1993952 2866306 3436384 3489416 3614038 5732612 6978832 7228076 10032071 11465224 12649133 13957664 14456152 20064142 22930448 25298266 28912304 32962519 40128284 41561437 45860896 50596532 57824608 65925038 80256568 83122874 101193064 131850076 160513136 166245748 202386128 230737633 263700152 290930059 321026272 332491496 404772256 461475266 527400304 581860118 664982992 922950532 955913051 1054800608 1163720236 1329965984 1845901064 1911826102 2327440472 3691802128 3823652204 4654880944 6691391357 7383604256 7647304408 9309761888 13382782714 15294608816 26765565428 30589217632 53531130856 107062261712 214124523424